A Quantum Dynamics Approach to Spectral Analysis in Small-World Complex Networks
Spectra and eigenstates of the adjacency matrix of a complex network provide many important information about its structure and dynamics.By mapping the adjacency matrix of a small-world network to the Hamiltonian of a quantum system,the statistical properties of the spectra and the localization of eigenstates are analyzed.Theoretical analysis and numerical results show that the spectrum corresponding to small-world networks with small rewiring probabilities have properties consistent with those of quantum integrable systems.When the rewiring probability in small-world networks is higher than a certain threshold,the spectral statistics agree with those of quantum chaotic systems.These findings may lead to further understanding of both complex networks and complex quantum systems.
Small-World Networks Quantum Dynamical Systems Spectral Analysis
Bin Ye Shuai Xu
School of Information and Electrical Engineering,China University of Mining and Technology,Xuzhou 221116,P.R.China
国际会议
长沙
英文
627-631
2014-05-31（万方平台首次上网日期，不代表论文的发表时间）